1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kamila [148]
3 years ago
8

Point G is the centroid of the right △ABC with hypotenuse AB=18 in. Find CG.

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0
<h3>Answer:</h3>

6 in

<h3>Explanation:</h3>

Let M be the midpoint of AB. ∆CMB and ∆CMA are both isosceles triangles, so CM = (AB)/2 = 9 in.

CG = (2/3)(CM) = (2/3)(9 in)

CG = 6 in

_____

<em>Comment on centroid and median</em>

The centroid of a triangle is located 1/3 the distance from the midpoint of a side to the opposite vertex. This is true for any median in any triangle. The proof can be developed from the fact that every median divides the triangle's area in half. Here, we just take advantage of this fact.

You might be interested in
What is 2.26 (6 repeating) as a fraction?
Gekata [30.6K]

Answer:

34/15

Step-by-step explanation:

I recognized the form of this decimal as a number divided by 3. However, when I multiplied it by 3, I got 6.8. This means that the fraction was not fully simplified. Multiplying by 5, I got 34. Since I had to multiply by 3 and then by 5 to get there, I multiplied by a total of 15. Hope this helps!

3 0
3 years ago
5p + 3 = 15 Write a situation that this equation could help you solve and explain how each part of the equation relates to the s
riadik2000 [5.3K]

Expressions can be represented as equations, and vice versa.

A possible situation is as follows:

<em>John is 15 years old, and his age is 3 more than 5 times his brother's age</em>

The equation is given as:

\mathbf{5p + 3 = 15}

This means that:

  • 15 represents John's age
  • P represents his brother's age
  • 5 and 3 are the constants that relate their ages

Read more about word equations at:

brainly.com/question/20518082

4 0
2 years ago
Read 2 more answers
A skier needs to buy new ski poles during a ski trip to utah . The price of the poles is $24 and the sales tax is 4.7%. What is
leva [86]
total\ cost=\ price\ of\ poles+sales\ tax\\\\&#10;total\ cost=24+4.7\%*24=24+0.047*24=24+1,128\\\\=25.128\approx25.13\$\\\\&#10;Total\ cost\ is\25 .13\$.
6 0
3 years ago
12 is 1/2 percent of what number
AVprozaik [17]

Answer:

24 ?

Step-by-step explanation:

50% or .5%?

12*2 = 24

7 0
3 years ago
Read 2 more answers
Please help asap 50 pts
Alexxx [7]
A. The smaller the number, the wider the graph. That equation had the smallest number, so therefore it will produce the widest graph.
6 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of two numbers is 41. The larger number is one less than twice the smaller number. Find the numbers.
    11·1 answer
  • What is the slope (grade) of a road that rises 6 feet for every horizontal change of 100 feet ?
    15·1 answer
  • The quotient of a number and two imcreased by five is 10 equation
    9·1 answer
  • Solve the proportion to determine the value of x. <br><br> 3<br> 7<br><br> 37<br> = <br> 12<br> x
    6·1 answer
  • The table shows the number of cakes and pies that Gretchen sold at the bake sale last weekend
    8·2 answers
  • 1 and 1/3 mineus 3/4
    5·2 answers
  • One angle of a triangle measures 95°. The other two angles are in a ratio of 4:13. What are the measures of those two angles?
    8·1 answer
  • Can I get help with this please
    15·1 answer
  • List the following rational numbers in order from least to greatest.<br><br>5/4, 56%, 1.07, 4/5​
    6·1 answer
  • Jason considered two similar televisions at a local electronics store. the cheaper version was 12 inches by 24 inches. the more
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!